354200 has 96 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 105600.

The previous prime is 354181. The next prime is 354209. The reversal of 354200 is 2453.

It is a super-3 number, since 3×354200³ = 133311288264000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354209) by changing a digit.

354200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15389 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2³⁵⁴²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

354200 is an abundant number, since it is smaller than the sum of its proper divisors (717160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354200 is a wasteful number, since it uses less digits than its factorization.

354200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 354200 is about 595.1470406547. The cubic root of 354200 is about 70.7537591596.

Adding to 354200 its reverse (2453), we get a palindrome (356653).

The spelling of 354200 in words is "three hundred fifty-four thousand, two hundred".